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Finding the Fourth Proportional to 282,765.27, 390,216.12 and 161,946.63

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Solution

The fourth proportional to 282,765.27, 390,216.12 and 161,946.63 is: 223,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,765.27 : 390,216.12 = 161,946.63 : x
  2. Step 2: Convert to fraction form
    282,765.27/390,216.12 = 161,946.63/x
  3. Step 3: Cross multiply
    282,765.27x = 390,216.12 × 161,946.63
  4. Step 4: Simplify right side
    282,765.27x = 63,194,185,605.68
  5. Step 5: Solve for x
    x = 63,194,185,605.68/282,765.27
  6. Step 6: Final answer
    x = 223,486.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.